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John has a deck of 10 cards numbered 1 through 10. He is playing a game of chance. This game is this: John chooses one

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John has a deck of 10 cards numbered 1 through 10. He is playing a game of chance. This game is this: John chooses one card from the deck at random. He wins an amount of money equal to the value of the card if an odd numbered card is drawn. He loses $6 if an even numbered card is drawn. (a) Find the pected value of playing the game. '1] dollars (b) What can John expect in the long run, aFter playing the game many times? (He replaces the card in the deck each time.) 0 John can expect to gain money. He can expect to win I] dollars per draw. 0 John can expect to lose money. He can expect to lose I] dollars per draw. 0 John can expect to break even (neither gain nor lose money)

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